how to write 51/60 as a reduced fraction

To write 51/60 as a reduced fraction, you need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by the GCD. Here's how you can do it:

Step 1: Find the GCD of 51 and 60.
To find the GCD, you can use various methods such as prime factorization or the Euclidean algorithm. Let's use the Euclidean algorithm:
- Divide 60 by 51: 60 ÷ 51 = 1 with a remainder of 9.
- Divide 51 by 9: 51 ÷ 9 = 5 with a remainder of 6.
- Divide 9 by 6: 9 ÷ 6 = 1 with a remainder of 3.
- Divide 6 by 3: 6 ÷ 3 = 2 with no remainder.
The GCD of 51 and 60 is the last non-zero remainder, which is 3.

Step 2: Divide both the numerator and the denominator by the GCD.
Divide 51 by 3: 51 ÷ 3 = 17.
Divide 60 by 3: 60 ÷ 3 = 20.

Therefore, the reduced fraction of 51/60 is 17/20.

Find a common factor between the numerator and denominator, and reduce each by that factor until no more common factor can be found.

51/60
= (3*17)/(3*20)
= 17/20

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Divide the numerator and denominator by 3.

51/60 = 17/20